70 research outputs found
Stability and control synthesis for discrete-time linear systems subject to actuator saturation by output feedback
This paper presents sufficient conditions of asymptotic stability
for discrete-time linear systems subject to actuator saturations
with an output feedback law. The derived stability results are
given in terms of LMIs. A new proof is presented to
obtain previous conditions of asymptotic stability. A numerical
example is used to illustrate this technique by using a linear
optimization problem subject to LMI constraints
LMI Conditions for Robust Stability of 2D Linear Discrete-Time Systems
Robust stability conditions are derived for uncertain 2D linear discrete-time systems, described by Fornasini-Marchesini second models with polytopic uncertainty. Robust stability is guaranteed by the existence of a parameter-dependent Lyapunov function obtained from the feasibility of a set of linear matrix inequalities, formulated at the vertices of the uncertainty polytope. Several examples are presented to illustrate the results
Control of systems with asymmetric bounds using linear programming: Application to a hydrogen reformer
This paper studies controller design for feedback systems in the
presence of asymmetrically bounded signals, using a case study. An
asymmetric objective functional is used to consider the
asymmetrically bounded signals, which makes possible to derive a
linear programming problem. Solving this LP makes possible to
design controllers that minimize certain outputs, fulfilling at
the same time hard constraints on certain signals. The method is
presented by application to a hydrogen reformer, a system in
petrochemical plants that produces hydrogen from hydrocarbons: a
mixed sensitivity problem is stated and solved, with an additional
constraint given by the asymmetric limitations on the magnitude
and rate of the control signal, and the asymmetricity in the
disturbances
- …